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Finding the Fourth Proportional to 513,228.50, 769,793.27 and 158,147.18

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Solution

The fourth proportional to 513,228.50, 769,793.27 and 158,147.18 is: 237,205.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,228.50 : 769,793.27 = 158,147.18 : x
  2. Step 2: Convert to fraction form
    513,228.50/769,793.27 = 158,147.18/x
  3. Step 3: Cross multiply
    513,228.50x = 769,793.27 × 158,147.18
  4. Step 4: Simplify right side
    513,228.50x = 121,740,630,193.78
  5. Step 5: Solve for x
    x = 121,740,630,193.78/513,228.50
  6. Step 6: Final answer
    x = 237,205.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.